Question

Write out the set (X: (5, a, b}} by listing their elements between braces for the different condition. E.g: IXl = 2 ={{5,a), (5,b), (1,b}} a) |x| = 5 b) |x| = 3​

Answer 1

Answer:a) |x| = 5

The set (X: (5, a, b}) consists of three elements: 5, a, and b. If we impose the condition that |x| = 5, then we can include all possible combinations of these elements with the value 5. Therefore, the set (X: (5, a, b}) when |x| = 5 is:

{(5, a), (5, b)}

b) |x| = 3

If we impose the condition that |x| = 3, we need to exclude the element 5 from the previous set since it doesn't satisfy the condition. Therefore, the set (X: (5, a, b}) when |x| = 3 is:

{(3, a), (3, b)}

Explanation: